A trucking company wants to evaluate whether a decrease in the weight of their trucks helps to increase gas mileage. The company randomly selects 100 of their truck drivers, driving trucks that are identical in every way other than weight, to monitor gas mileage over a 1-year period. Results showed an association between truck weight and gas mileage. Which is a possible confounding variable for the provided scenario?

Answer:

[tex]\frac{d^2y}{dx^2} = \frac{-300y^2}{(4y^3-11)^3}[/tex]

Step-by-step explanation:

Given the expression  [tex]y^4+5x=11y[/tex], we are to find the second derivative [tex]\frac{d^2y}{dx^2}[/tex]

This differentiation will be implicit (indirect) as shown:

[tex]4y^3 \frac{dy}{dx} + 5 = 11\frac{dy}{dx} \\4y^3 \frac{dy}{dx} - 11 \frac{dy}{dx} = -5\\\frac{dy}{dx}(4y^3-11) = -5\\\frac{dy}{dx} = \frac{-5}{4y^3-11}[/tex]

Differentiating the second time using quotient rule:

[tex]\frac{d^2y}{dx^2} = \frac{4y^3-11 (0)- (-5)12y^2\frac{dy}{dx} }{(4y^3-11)^2} \\\\\frac{d^2y}{dx^2} = \frac{60y^2\frac{dy}{dx} }{(4y^3-11)^2} \\\\\frac{d^2y}{dx^2} = \frac{60y^2(\frac{-5}{4y^3-11} ) }{(4y^3-11)^2}\\\\\frac{d^2y}{dx^2} = \frac{-300y^2}{(4y^3-11)^3}[/tex]

The value of the x should be more than or equal to 5.69. Then the correct option is A.

Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as we will as is used to compare two statements.

A school is planning a fundraiser with all profits going to charity.

Ticket Sales: 200x − 10x²

Event Cost: 500 + 20x

The amount of profit is found by subtracting the total cost from total ticket sales. A profit of $200 or more.

             Event cost − Total sales  ≥ Profit

         (500 + 20x) − (200x − 10x²) ≥ 200

− 200x + 10x² + 500 + 20x − 200 ≥ 0

                         10x² + 180x − 700 ≥ 0

                         10x² − 180x + 700 ≥ 0

                                  x² − 18x + 70 ≥ 0

On simplifying, we have

(x − 5.69) (x − 12.33) ≥ 0

                               x ≥ 5.69, 12.33

Thus, the value of the x should be more than or equal to 5.69. Then the correct option is A.

More about the inequality link is given below.

https://brainly.com/question/19491153

Step-by-step explanation:

Hey there!

Given;

The equations are;

y = 8x...........(i)

y = 2x-12..........(ii)

Now;

Substituting the value of "y" from equation (i).

8x = 2x-12

8x-2x = -12

6x = -12

X = -12/6

Therefore, X= -2.

Now; Substituting the value of "y" in equation (i)

y = 8*-2

y = -16

Therefore, y= -16.

Therefore, x= -2 and y= -16.

Check:

y = 2x

-16= 8*-2

-16 = -16 (true).

Hope it helps...

Answer:

Step-by-step explanation:

2x + 3 = x/2 + 4

2x - x/2 = 4 - 3

3x/2 = 1

x = 1 (2) / 3

x = 2/3

substitute the value of x=2/3 back into the equation:

2(2/3) + 3 = (2/3)/2 + 4

4/3 + 3 = 1/3 + 4

Answer:

80,000

Step-by-step explanation:

Hope I helped. please mark brainiest.

Answer: 80,000

Step-by-step explanation: I did math give me brainliest pls

Answer:

Step-by-step explanation:

the 10,000's column

hope this helped :)

Answer:

[tex]the \: place \: of \: 5 \: is \: 50000 \: \\ i.e \: tent \: of \: thousand.[/tex]

Answer:

Answer:

(5, 20)  

Step-by-step explanation:

We can find the slope of the line

m = (y2-y1)/(x2-x1)

   = (40-0)/(10-0)

   = 40/10

   =4

Since the line goes through (0,0) the y intercept is 0

y = mx+b

y = 4x

Lets check the points  by substituting into the equation

40, 10)     10 = 4*40   10 =160  no

(–5, –10)    -10 = 4*-5    10 = -20   no

(5, 20)       20 = 4*5    20 = 20  yes

(–10, –20)    -20 = 4*-10    -20 = -40   no

Step-by-step explanation:

Which ordered pair would form a proportional relationship with the point graphed below? On a coordinate plane, a line with negative slope goes through points (negative 20, 10), (0, 0), and (20, negative 10). (10, –20) (–30, 20) (–10, 5) (35, –20)

Answer

c

Step-by-step explanation:

egde2020

Answer:

x=3

Step-by-step explanation:

Answer:

441

Step-by-step explanation:

Use a proportion.

756 miles is to 12 hours as x miles is to 7 hours

756/12 = x/7

12x = 7 * 756

12x = 5292

x = 441

Answer: 441 miles

Answer:

441

Step-by-step explanation:

756 divided by 12 = 63

Jim drives 63 miles in 1 hour

Multiply 63 by 7

63 ⋅ 7 = 441

Jim will drive 441 miles in 7 hours

Hope I helped :)

Please consider Brainliest :)

Answer:

Hi, I'm unsure as to what digit you wanted us to round the answer to, so I rounded the answer to the 4 most commonly used decimal places.

First off, we figure out that 614 divided by 31 equals 19.8064516129.

Rounded to the nearest thousandth, that's 19.806.

Rounded to the nearest hundredth, that's 19.81.

Rounded to the nearest tenth, that's 19.8.

Rounded to the nearest whole number, that's 20.

Hope this helps! Feel free to mark me Brainliest if you feel this helped. :)

Answer:

the answer is 19.80645.

Step-by-step explanation:

Answer:

3 million or 3 x 10^6

Step-by-step explanation:

You would round this up to three million because the digit before it is 5 or larger. Then, using the three million number, you move the decimal over 6 places to get a digit less than ten so it would become 3 times 10 to the power of 6

Answer:

Top left

Step-by-step explanation:

Answer:

Rational, irrational, rational, irrational

Step-by-step explanation:

-115.5: all negative numbers are rational

23.083: 3 is recurring- recurring numbers are irrational

2 under root 9 = 6

the number goes on without a pattern= irrational

Answer:

it is makeing me do it

Step-by-step explanation:

Answer:

2x-3+8v

Step-by-step explanation:

Answer:

Assuming we are simplifying, it should be 2x+5

Step-by-step explanation:

Combine like terms.

8-3 is 5

4x-2x is 2x

So yeah

Answer:

The difference of a number and three

Step-by-step explanation:

This means you are taking 3 away from the number in this situation A

Answer:

65432   hope this helps

Step-by-step explanation:

Go by the biggest number in this case 6 then look at the second biggest number in this case 5.

Keep doing this until you get to the end. In the case the number was 65432

Answer:

65432 yh it is .....................

Answer:

the answer is 25

Step-by-step explanation:

After simplifying the expression the final value of the expression is given by 25

Exponent is a mathematical operation, written as an. Here the expression an involves two numbers, the base 'a and the exponent or power 'n'. Exponents are used to simplify algebraic expressions.

Given here : The expression 5⁸×5⁻² / 5⁴

We know from the law of exponents, for any non-zero term a,

[tex]a^m.a^n=a^{m+n}[/tex]

Thus simplifying the expression we get

5⁸×5⁻² / 5⁴

=5⁸⁻² /5⁴

=5⁶⁻⁴

=5²

=25

Hence, The value of the expression is 25

https://brainly.com/question/5497425

#SPJ2

Answer:

y = 1

Step-by-step explanation:

Hi there !

6y + 12 = 18

6y = 18 - 12

6y = 6

y = 6 : 6

y = 1

Good luck !

Answer:

x-intercept is (-9,0)

y-intercpt is (0,27)

Step-by-step explanation:

you have to subsitute x and y from zero then you go from there

Answer:

Y-intercept (0,27)

X- intercept (-9,0)

Step-by-step explanation:

To find X - intercept, substitute in 0 for y and solve for X. To find Y-intercept, substitute in 0 for x and solve for y.

Y= 3x plus 27                                            

Y = 3(0) plus 27

Y = 0 plus 27

Y = 27                 The Y-intercept (0,27)

Y = 3x plus 27

0 = 3x plus 27

0 - 27 = 3x

-27 = 3x

divide by boyh side to 3 and X will be -9

Answer:

y = 3x − 2

Step-by-step explanation:

Hope This Helps!

Answer:

n = 10

Step-by-step explanation:

The triangles are equal by SSS theorem, therefore the 2 angles given with a variable must be equal.

Answer:

The answer is B

Step-by-step explanation:

Answer: The population is 730 and the sample is 102.

Step-by-step explanation:

When we have a given set of elements, N elements, the population is N.

And if we do statistics with A of these N elements, the sample is A.

In this case, the population is the set of the 730 drivers, then the population is 730.

And while 200 of them are randomly selected, we can only work with 102 of them (because we have only 102 returned questionnaires).

Then the sample will be 102.

Then the correct option is:

The population is 730 and the sample is 102.

Answer:

730 and 102.

Step-by-step explanation:

I took the test, so I know this is the correct answer.

Answer:

3/5 lmk if you need the work

Step-by-step explanation:

Answer:

6^3 is 216

6^2 is 36

6^1 is 6

6^0 is 1

Step-by-step explanation:

Answer:

D. 3/20

Step-by-step explanation:

12/80 can be dimplified to 3/20

Answer:

d 3 2

Step-by-step explanation: